{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Recurrent Neural Networks Models\n",
    "In this notebook, we show an example of how RNNs can be used with darts.\n",
    "If you are new to darts, we recommend you first follow the [quick start](https://unit8co.github.io/darts/quickstart/00-quickstart.html) notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# fix python path if working locally\n",
    "from utils import fix_pythonpath_if_working_locally\n",
    "\n",
    "fix_pythonpath_if_working_locally()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import warnings\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "from darts.dataprocessing.transformers import Scaler\n",
    "from darts.datasets import AirPassengersDataset, SunspotsDataset\n",
    "from darts.metrics import mape\n",
    "from darts.models import BlockRNNModel, ExponentialSmoothing, RNNModel\n",
    "from darts.utils.callbacks import TFMProgressBar\n",
    "from darts.utils.statistics import check_seasonality, plot_acf\n",
    "from darts.utils.timeseries_generation import datetime_attribute_timeseries\n",
    "\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "import logging\n",
    "\n",
    "logging.disable(logging.CRITICAL)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Recurrent Models\n",
    "\n",
    "Darts includes two recurrent forecasting model classes: `RNNModel` and `BlockRNNModel`. \n",
    "\n",
    "`RNNModel` is fully recurrent in the sense that, at prediction time, an output is computed using these inputs:\n",
    "\n",
    "- the previous target value, which will be set to the last known target value for the first prediction,\n",
    "  and for all other predictions it will be set to the previous prediction\n",
    "- the previous hidden state\n",
    "- the current covariates (if the model was trained with covariates)\n",
    "\n",
    "A prediction with forecasting horizon `n` thus is created in `n` iterations of `RNNModel` predictions and requires `n` future covariates to be known. This model is suited for forecasting problems where the target series is highly dependent on covariates that are known in advance.\n",
    "\n",
    "`BlockRNNModel` has a recurrent encoder stage, which encodes its input, and a fully-connected neural network decoder stage, which produces a prediction of length `output_chunk_length` based on the last hidden state of the encoder stage. Consequently, this model produces 'blocks' of forecasts and is restricted to looking at covariates with the same time index as the input target series."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Air Passenger Example\n",
    "This is a data set that is highly dependent on covariates. Knowing the month tells us a lot about the seasonal component, whereas the year determines the effect of the trend component. Both of these covariates are known in the future, and thus the `RNNModel` class is the preferred choice for this problem."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Read data:\n",
    "series = AirPassengersDataset().load().astype(np.float32)\n",
    "\n",
    "# Create training and validation sets:\n",
    "train, val = series.split_after(pd.Timestamp(\"19590101\"))\n",
    "\n",
    "# Normalize the time series (note: we avoid fitting the transformer on the validation set)\n",
    "transformer = Scaler()\n",
    "train_transformed = transformer.fit_transform(train)\n",
    "val_transformed = transformer.transform(val)\n",
    "series_transformed = transformer.transform(series)\n",
    "\n",
    "# create month and year covariate series\n",
    "year_series = datetime_attribute_timeseries(\n",
    "    pd.date_range(start=series.start_time(), freq=series.freq_str, periods=1000),\n",
    "    attribute=\"year\",\n",
    "    one_hot=False,\n",
    "    dtype=series.dtype,\n",
    ")\n",
    "year_series = Scaler().fit_transform(year_series)\n",
    "month_series = datetime_attribute_timeseries(\n",
    "    year_series,\n",
    "    attribute=\"month\",\n",
    "    one_hot=True,\n",
    "    dtype=series.dtype,\n",
    ")\n",
    "covariates = year_series.stack(month_series)\n",
    "cov_train, cov_val = covariates.split_after(pd.Timestamp(\"19590101\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's train an LSTM neural net. For using vanilla RNN or GRU instead, replace `'LSTM'` by `'RNN'` or `'GRU'`, respectively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "my_model = RNNModel(\n",
    "    input_chunk_length=14,\n",
    "    training_length=20,\n",
    "    model=\"LSTM\",\n",
    "    hidden_dim=20,\n",
    "    dropout=0,\n",
    "    batch_size=16,\n",
    "    n_epochs=300,\n",
    "    optimizer_kwargs={\"lr\": 1e-3},\n",
    "    model_name=\"Air_RNN\",\n",
    "    log_tensorboard=True,\n",
    "    random_state=42,\n",
    "    force_reset=True,\n",
    "    save_checkpoints=True,\n",
    "    pl_trainer_kwargs={\"callbacks\": [TFMProgressBar(enable_train_bar_only=True)]},\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In what follows, we can just provide the whole `covariates` series as `future_covariates` argument to the model; the model will slice these covariates and use only what it needs in order to train on forecasting the target `train_transformed`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7e18d8e02b274b88955b6710a7ab90c2",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Training: 0it [00:00, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "RNNModel(model=LSTM, hidden_dim=20, n_rnn_layers=1, dropout=0, training_length=20, input_chunk_length=14, batch_size=16, n_epochs=300, optimizer_kwargs={'lr': 0.001}, model_name=Air_RNN, log_tensorboard=True, random_state=42, force_reset=True, save_checkpoints=True, pl_trainer_kwargs={'callbacks': [<darts.utils.callbacks.TFMProgressBar object at 0x1469edfd0>]})"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "my_model.fit(\n",
    "    train_transformed,\n",
    "    future_covariates=covariates,\n",
    "    val_series=val_transformed,\n",
    "    val_future_covariates=covariates,\n",
    "    verbose=True,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Look at predictions on the validation set\n",
    "Use the \"current\" model - i.e., the model at the end of the training procedure:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def eval_model(model):\n",
    "    pred_series = model.predict(n=26, future_covariates=covariates)\n",
    "    plt.figure(figsize=(8, 5))\n",
    "    series_transformed.plot(label=\"actual\")\n",
    "    pred_series.plot(label=\"forecast\")\n",
    "    plt.title(f\"MAPE: {mape(pred_series, val_transformed):.2f}%\")\n",
    "    plt.legend()\n",
    "\n",
    "\n",
    "eval_model(my_model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use the best model obtained over training, according to validation loss:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "best_model = RNNModel.load_from_checkpoint(model_name=\"Air_RNN\", best=True)\n",
    "eval_model(best_model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Backtesting\n",
    "Let's backtest our `RNN` model, to see how it performs at a forecast horizon of 6 months:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "backtest_series = my_model.historical_forecasts(\n",
    "    series_transformed,\n",
    "    future_covariates=covariates,\n",
    "    start=pd.Timestamp(\"19590101\"),\n",
    "    forecast_horizon=6,\n",
    "    retrain=False,\n",
    "    verbose=True,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAPE: 2.71%\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 5))\n",
    "series_transformed.plot(label=\"actual\")\n",
    "backtest_series.plot(label=\"backtest\")\n",
    "plt.legend()\n",
    "plt.title(\"Backtest, starting Jan 1959, 6-months horizon\")\n",
    "print(\n",
    "    \"MAPE: {:.2f}%\".format(\n",
    "        mape(\n",
    "            transformer.inverse_transform(series_transformed),\n",
    "            transformer.inverse_transform(backtest_series),\n",
    "        )\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Monthly sunspots\n",
    "Let's now try a more challenging time series; that of the monthly number of sunspots since 1749. First, we build the time series from the data, and check its periodicity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(True, np.int64(125))"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "series_sunspot = SunspotsDataset().load().astype(np.float32)\n",
    "\n",
    "series_sunspot.plot()\n",
    "check_seasonality(series_sunspot, max_lag=240)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_acf(series_sunspot, 125, max_lag=240)  # ~11 years seasonality"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_sp, val_sp = series_sunspot.split_after(pd.Timestamp(\"19401001\"))\n",
    "\n",
    "transformer_sunspot = Scaler()\n",
    "train_sp_transformed = transformer_sunspot.fit_transform(train_sp)\n",
    "val_sp_transformed = transformer_sunspot.transform(val_sp)\n",
    "series_sp_transformed = transformer_sunspot.transform(series_sunspot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": true,
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5d68599a153c4affb8131b573ae709d0",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Training: 0it [00:00, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "BlockRNNModel(output_chunk_shift=0, model=GRU, hidden_dim=10, n_rnn_layers=1, hidden_fc_sizes=None, dropout=0.1, activation=ReLU, use_static_covariates=True, input_chunk_length=125, output_chunk_length=36, batch_size=32, n_epochs=100, model_name=sun_GRU, nr_epochs_val_period=1, optimizer_kwargs={'lr': 0.001}, log_tensorboard=True, random_state=42, force_reset=True, pl_trainer_kwargs={'callbacks': [<darts.utils.callbacks.TFMProgressBar object at 0x1579e6420>]})"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "my_model_sun = BlockRNNModel(\n",
    "    model=\"GRU\",\n",
    "    input_chunk_length=125,\n",
    "    output_chunk_length=36,\n",
    "    hidden_dim=10,\n",
    "    n_rnn_layers=1,\n",
    "    batch_size=32,\n",
    "    n_epochs=100,\n",
    "    dropout=0.1,\n",
    "    model_name=\"sun_GRU\",\n",
    "    nr_epochs_val_period=1,\n",
    "    optimizer_kwargs={\"lr\": 1e-3},\n",
    "    log_tensorboard=True,\n",
    "    random_state=42,\n",
    "    force_reset=True,\n",
    "    pl_trainer_kwargs={\"callbacks\": [TFMProgressBar(enable_train_bar_only=True)]},\n",
    ")\n",
    "\n",
    "my_model_sun.fit(train_sp_transformed, val_series=val_sp_transformed, verbose=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To evaluate our model, we will simulate historic forecasting with a forecasting horizon of 3 years across the validation set. To speed things up, we will only look at every 10th forecast. For the sake of comparison, let's also fit an exponential smoothing model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5b2e222d6ddb4b63aeaa1e520b04dae9",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "historical forecasts:   0%|          | 0/49 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compute the backtest predictions with the two models\n",
    "hfc_kwargs = {\n",
    "    \"series\": series_sp_transformed,\n",
    "    \"forecast_horizon\": 36,\n",
    "    \"start\": pd.Timestamp(\"19401001\"),\n",
    "    \"stride\": 10,\n",
    "    \"last_points_only\": True,\n",
    "    \"verbose\": True,\n",
    "}\n",
    "pred_series = my_model_sun.historical_forecasts(retrain=False, **hfc_kwargs)\n",
    "pred_series_ets = ExponentialSmoothing(seasonal_periods=120).historical_forecasts(\n",
    "    retrain=True, **hfc_kwargs\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RNN MAPE: 66.01036\n",
      "ETS MAPE: 115.02431855176833\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "val_sp_transformed.plot(label=\"actual\")\n",
    "pred_series.plot(label=\"our RNN\")\n",
    "pred_series_ets.plot(label=\"ETS\")\n",
    "plt.legend()\n",
    "print(\"RNN MAPE:\", mape(pred_series, val_sp_transformed))\n",
    "print(\"ETS MAPE:\", mape(pred_series_ets, val_sp_transformed))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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